4060 Abelian Functions 



theorems concerning complementary indices. 



Richelot, A. Crelle J. 29 (1845) 281-. 

 theory. Weierstmss, C. Crelle J. 47 (1854) 



289-; 52 (1856) 285-. 



. Riemann, B. Crelle J. 54 (1857) 116-. 

 . Prym, F. E. Wien D. 24 (1865) (2 to Ab.) 



. Clebsch, R. F. A., & Gordan, P. C. B. 



62 (1866) 183-, 227-. 

 . Thomae, J. [1872] Crelle J. 75 (1873) 



224. 



. Pick, G. Mth. A. 29 (1887) 259-. 

 . Klein, F. Gott. Nr. (1889) 179-, 376-; 



Mth. A. 36 (1890) 1-. 



. Dolbnia, J. N. A. Mth. 10 (1891) 478-. 

 . Hurwitz, A. Gott. Nr. (1892) 247-. 

 . Fuchg, L. Berl. Ak. Sb. (1897) 608- ; 



(1898) 477-. 

 , exceptional cases in. Weber, H. Mth. A. 



13 (1878) 35-. 



, point in. Halphen, G. H. C. E. 78 (1874) 



1833-. 

 , Eiemann's. Capelli, A. Nap. Ed. 28 



(1889) 236-. 

 , , explanation of 3rd section. Ascoli, G. 



Mil. I. Lomb. Ed. 18 (1885) 783-, 806-. 

 transformation. Gordan, P. C. E. 60 (1865) 



925-. 



. Humbert, G. C. E. 129 (1899) 955-. 

 . of 3rd degree in. Brioschi, F. Mth. A. 



28 (1887) 594-. 

 . Krause, M. Mth. A. 28 (1887) 



597-. 

 , theory. Hermite, C. C. E. 40 (1855) 



249-, 304-, 365-, 427-, 485-, 536-, 704, 



704-, 784-. 



, . Brioschi, F. C. E. 47 (1858) 310-. 

 transformations of, form and number of re- 

 presentatives of non-equivalent classes. 



Dorn, E. Mth. A. 7 (1874) 481-. 

 , singular. Humbert, G. C. E. 126 (1898) 



882-. 

 which, applied twice, produce duplication. 



Borchardt, C. W. C. E. 88 (1879) 885-, 



955-. 

 trisection. Clebsch, R. F. A. [1869] Gott. Ab. 



14 (1869) 75 pp. ; Mth. A. 2 (1870) 193-. 

 . Jordan, C. C. E. 68 (1869) 865-. 



and logT. Clausen, T. Grunert Arch. 30 



(1858) 166-. 

 ^-functions. Klein, F. Mth. A. 27 (1886) 



431- ; 32 (1888) 351-. 

 . Brioschi, F. Em. E. Ac. Line. Ed. 3 



(1887) (San. 1) 245-, 311-. 

 . Burkhardt, H. Mth. A. 32 (1888) 



381-. 



. Pascal, E. A. Mt. 17 (1889-90) 257-. 

 . Baker, H. F. Am. J. Mth. 20 " 



301-. 

 , derivatives. Bolza, 0. Am. J. Mth. 17 



(1895) 11-. 

 , elliptic ff functions as special case. 



Bolza, O. N. Y. Am. Mth. S. T. 1 (1900) 



53. 

 , expansion in series. Brioschi, F. Em. E. 



Ac. Line. Mm. 6 (1889) 471-. 

 , , second limit. Pascal, E. A. Mt. 



24 (1896) 193-. 



Abelian Integrals 4060 



(r-functions, expansions. Bolza, 0. Am. J. 



Mth. 22 (1900) 101-. 

 and 0-f unctions. Cayley, A. Am. J. Mth. 5 



(1882) 137- ; 7 (1885) 101-. 

 ^-functions, algebraic characteristics. Staude, 



0. Mth. A. 25 (1885) 363-. 

 , differential equations. Wiltheiss, E. D. 



Mth. Vr. Jbr. 1 (1892) 72-. 

 , partial differential equations. Wiltheiss, E. 



Mth. A. 33 (1889) 267-. 



and their periods, partial differential equa- 

 tions. Wiltheiss, E. Mth. A. 31 (1888) 

 134-. 



, points in theory. Schroder, J. Hamb. 

 Mth. Gs. Mt. 3 (1900) 73-. 



and (r-functions, connection. Schroder, J, 

 Hamb. Mth. Gs. Mt. 2 (1890) (Festschr., 

 Tl. 2) 162-. 



, partial differential equations. Bolza, 



0. Am. J. Mth. 21 (1899) 107-. 



ABELIAN INTEGEALS. 



Minding, E. F. A. Crelle J. 22 (1842) 255-. 

 Haedenkamp, H. Crelle J. 25 (1843) 178-. 

 Rink, H. J. QJ. Mth. 19 (1883) 374-. 

 Biermann, 0. Mh. Mth. Ps. 3 (1892) 21-. 

 Seiliger, D. N. Kazan S. Ps.-Mth. Bll. 2 (1893) 



(Prot.) 57. 



Roberts, W. R. W. B. A. Ep. (1894) 557-. 

 Epstein, P. Acta Mth. 20 (1897) 1-. 

 Thomae, J. Leip. Mth. Ps. B. 52 (1900) 



105-. 

 addition-theorem, demonstration. Schumann, 



A. Mth. A. 7 (1874) 623-. 

 algebraic part. Stoliarow, N. A. Fschr. Mth. 



(1899) 405. 



, separation. Tichomandrickij , M. A. 

 Kharkov Mth. S. Com. (1885) 99- ; Fschr. 

 Mth. (1886) 252-. 



researches. Raffy, L. Par. EC. Norm. A. 

 12 (1883) 105-. 



analytical exercises. Rosenhain, G. Crelle J. 

 28 (1844) 249- ; 29 (1845) 1-. 



application of representation of binary forms. 

 Gordan, P. A. Mt. 2 (1868-69) 346-. 



calculation. Soderblom, A. Goteb. Hndl. 2 

 (1899) 127-. 



canonical periods. Liiroth, J. Munch. Ak. 

 Ab. 15 (1886) 329-; 16 (1888) 197-. 



class, and certain differential equations. Pi- 

 card, E. C. E. 92 (1881) 398-. 



of 1st class, periods. Roberts, W. R. W. [1880] 

 Ir. Ac. T. 28 (1880-86) 31-. 



2nd class. Thomae, J. Crelle J. Mth. 101 

 (1887) 326-. 



complete. Winckler, A. Wien Sb. 58 (1868) 

 (Ab. 2) 976-. 



, of different species, relations. Winckler, 

 A. Wien Sb. 62 (1870) (Ab. 2) 49-. 



connected with a binomial irrationality. Bier- 

 mann, 0. Wien Ak. Sb. 87 (1883) (Ab. 2) 

 934-. 



for curves of 4th degree, march. Klein, C. F. 

 Mth. A. 10 (1876) 365- ; 11 (1877) 293-. 



on curves in hyperspace. White, H. S. Ac. Nt. 

 C. N. Acta 57 (1892) 41-. 



331 



